Fidelity of Gaussian channels

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A noisy Gaussian channel is defined as a channel in which an input field mode is subjected to random Gaussian displacements in phase space. We introduce the quantum fidelity of a Gaussian channel for pure and mixed input states, and we derive a universal scaling law of the fidelity for pure initial states. We also find the maximum fidelity of a Gaussian channel over all input states. Quantum cloning and continuous-variable teleportation are presented as physical examples of Gaussian channels to which the fidelity results can be applied.
Based on invited talk given by KW at XXXVI Symposium on Mathematical Physics, "Open Systems and Quantum Information," Torun, Poland, June 9-12, 2004. To be published in Open Systems and Information Dynamics

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